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Brain surface analysis is essential to neuroscience, however, the complex geometry of the brain cortex hinders computational methods for this task. The difficulty arises from a discrepancy between 3D imaging data, which is represented in…

计算机视觉与模式识别 · 计算机科学 2019-11-25 Karthik Gopinath , Christian Desrosiers , Herve Lombaert

Neuromorphic computing relies on spike-based, energy-efficient communication, inherently implying the need for conversion between real-valued (sensory) data and binary, sparse spiking representation. This is usually accomplished using the…

We study a wide field motion sensitive neuron in the visual system of the blowfly {\em Calliphora vicina}. By rotating the fly on a stepper motor outside in a wooded area, and along an angular motion trajectory representative of natural…

生物物理 · 物理学 2007-05-23 G. D. Lewen , W. Bialek , R. R. de Ruyter van Steveninck

In this paper, a neuron with nonlinear dendrites (NNLD) and binary synapses that is able to learn temporal features of spike input patterns is considered. Since binary synapses are considered, learning happens through formation and…

神经与进化计算 · 计算机科学 2015-06-18 Subhrajit Roy , Phyo Phyo San , Shaista Hussain , Lee Wang Wei , Arindam Basu

We construct in this article the semi-analytic Physics Informed Neural Networks (PINNs), called {\em singular layer PINNs} (or {\em sl-PINNs}), that are suitable to predict the stiff solutions of plane-parallel flows at a small viscosity.…

数值分析 · 数学 2023-11-28 Teng-Yuan Chang , Gung-Min Gie , Youngjoon Hong , Chang-Yeol Jung

In this brief paper, a learning algorithm is developed for Deep Learning NeuroSkin Neural Network to improve their learning properties. Neuroskin is a new type of neural network presented recently by the authors. It is comprised of a…

神经与进化计算 · 计算机科学 2023-02-06 Mehrdad Shafiei Dizaji

In this paper, we present a novel use of an anisotropic diffusion model for automatic detection of neurons in histological sections of the adult human brain cortex. We use a partial differential equation model to process high resolution…

计算机视觉与模式识别 · 计算机科学 2018-12-20 Andrija Štajduhar , Domagoj Džaja , Miloš Judaš , Sven Lončarić

We propose characteristics-informed neural networks (CINN), a simple and efficient machine learning approach for solving forward and inverse problems involving hyperbolic PDEs. Like physics-informed neural networks (PINN), CINN is a…

机器学习 · 计算机科学 2023-01-16 Ulisses Braga-Neto

Accurate separation of P- and S-waves is essential for multi-component seismic data processing, as it helps eliminate interference between wave modes during imaging or inversion, which leads to high-accuracy results. Traditional methods for…

地球物理 · 物理学 2025-04-11 Xinru Mu , Shijun Cheng , Tariq Alkhalifah

Memory behavior modeling is a core issue in cognitive psychology and education. Classical psychological theories typically use memory equations to describe memory behavior, which exhibits insufficient accuracy and controversy, while…

机器学习 · 计算机科学 2024-08-28 Xiaoxuan Shen , Zhihai Hu , Qirong Chen , Shengyingjie Liu , Ruxia Liang , Jianwen Sun

We introduce semi-parametric inducing point networks (SPIN), a general-purpose architecture that can query the training set at inference time in a compute-efficient manner. Semi-parametric architectures are typically more compact than…

机器学习 · 计算机科学 2023-03-31 Richa Rastogi , Yair Schiff , Alon Hacohen , Zhaozhi Li , Ian Lee , Yuntian Deng , Mert R. Sabuncu , Volodymyr Kuleshov

Despite their ubiquity, the rich physics present in a plasma sheath has inhibited the development of a generally applicable description of this critical region. The present study utilizes a physics-informed neural network (PINN) to evaluate…

等离子体物理 · 物理学 2026-04-27 Ethan Webb , Yuzhi Li , Christopher McDevitt

Model discovery aims at autonomously discovering differential equations underlying a dataset. Approaches based on Physics Informed Neural Networks (PINNs) have shown great promise, but a fully-differentiable model which explicitly learns…

机器学习 · 统计学 2021-10-06 Gert-Jan Both , Remy Kusters

We develop Neuron Shapley as a new framework to quantify the contribution of individual neurons to the prediction and performance of a deep network. By accounting for interactions across neurons, Neuron Shapley is more effective in…

机器学习 · 统计学 2020-11-17 Amirata Ghorbani , James Zou

We apply Physics-Informed Neural Networks (PINNs) for solving identification problems of nonhomogeneous materials. We focus on the problem with a background in elasticity imaging, where one seeks to identify the nonhomogeneous mechanical…

机器学习 · 计算机科学 2020-09-11 Enrui Zhang , Minglang Yin , George Em Karniadakis

Recent years have witnessed the success of deep neural networks in many research areas. The fundamental idea behind the design of most neural networks is to learn similarity patterns from data for prediction and inference, which lacks the…

机器学习 · 计算机科学 2020-08-24 Shaoyun Shi , Hanxiong Chen , Weizhi Ma , Jiaxin Mao , Min Zhang , Yongfeng Zhang

Physics-Informed Neural Networks (PINNs) have emerged as a powerful framework for solving partial differential equations (PDEs). However, standard MLP-based PINNs often fail to converge when dealing with complex initial value problems,…

We establish the convergence of physics-informed neural networks (PINNs) for time-dependent fractional diffusion equations posed on bounded domains. The presence of fractional Laplacian operators introduces nonlocal behavior and regularity…

数值分析 · 数学 2026-01-06 Elie Abdo , Lihui Chai , Ruimeng Hu , Xu Yang

Physics-informed neural networks (PINNs) are effective in solving inverse problems based on differential and integral equations with sparse, noisy, unstructured, and multi-fidelity data. PINNs incorporate all available information into a…

偏微分方程分析 · 数学 2020-04-10 Guofei Pang , Marta D'Elia , Michael Parks , George E. Karniadakis

The current neuron reconstruction pipeline for electron microscopy (EM) data usually includes automatic image segmentation followed by extensive human expert proofreading. In this work, we aim to reduce human workload by predicting…

计算机视觉与模式识别 · 计算机科学 2024-01-09 Qihua Chen , Xuejin Chen , Chenxuan Wang , Yixiong Liu , Zhiwei Xiong , Feng Wu